Re: simplify: (x+1/x) + (x^2 + 1/x^2)^2 +...+(x^n + 1/x^n)^n

hello there notice that u can seperate this sequence
into two sequences which are both geometric
the first is:x+x^2+x^3+...........+x^n
the second is:1/x +1/x^2+1/x^3+.........1/x^n
now just use the formula for the sum of ageometric sequence

Re: simplify: (x+1/x) + (x^2 + 1/x^2)^2 +...+(x^n + 1/x^n)^n

Originally Posted by islam

hello there notice that u can seperate this sequence into two sequences which are both geometric
the first is:x+x^2+x^3+...........+x^n
the second is:1/x +1/x^2+1/x^3+.........1/x^n
now just use the formula for the sum of ageometric sequence